(a) Let Y₁N(5, 1) and Y₂ ~ N(4,3). If Y₁ and Y₂ are independent, what is P(Y₁ > Y₂)? Note: the notation N(a, b²) denotes a normal distribution with mean a and variance 6². (b) Let Y₁ and Y₂ be independent random variables generated from a distribution with the following pdf (probabilty density function) f(y) = 0.25ye-y/2, y > 0.

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